11010212121200 has 120 divisors (see below), whose sum is σ = 26744276213616. Its totient is φ = 4355527680000.

The previous prime is 11010212121191. The next prime is 11010212121319. The reversal of 11010212121200 is 212121201011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35518880 + ... + 35827520.

Almost surely, 2^{11010212121200} is an apocalyptic number.

11010212121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010212121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372138106808).

11010212121200 is an abundant number, since it is smaller than the sum of its proper divisors (15734064092416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11010212121200 is a wasteful number, since it uses less digits than its factorization.

11010212121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309643 (or 309632 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11010212121200 its reverse (212121201011), we get a palindrome (11222333322211).

The spelling of 11010212121200 in words is "eleven trillion, ten billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".